EXISTENCE OF SOLUTIONS FOR ANISOTROPIC CAHN-HILLIARD AND ALLEN-CAHN SYSTEMS IN HIGHER SPACE DIMENSIONS

被引：11
作者：
Makki, Ahmad [1 ]
Miranville, Alain [1 ]
机构：
[1] Univ Poitiers, Lab Math & Applicat, CNRS, UMR 7348,SP2MI, Blvd Marie & Pierre Curie Teleport 2, F-86962 Futuroscope, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 03期
关键词：
Cahn-Hilliard equation; Allen-Cahn equation; anisotropy; Willmore regularization; well-posedness; TERNARY AMPHIPHILIC SYSTEMS; GINZBURG-LANDAU THEORY; PHASE-FIELD MODEL; EQUATION; FLUCTUATIONS; SIMULATIONS; BOUNDARY;
D O I：
10.3934/dcdss.2016027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to prove the existence and uniqueness of solutions to Cahn-Hilliard and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy proposed in [12] (see also [16]) which takes into account strong anisotropy effects. In particular, the free energy contains a regularization term, called Willmore regularization.
引用
收藏
页码：759 / 775
页数：17
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